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Finding the Fourth Proportional to 145,820.88, 218,724.03 and 57,090.66

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Solution

The fourth proportional to 145,820.88, 218,724.03 and 57,090.66 is: 85,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820.88 : 218,724.03 = 57,090.66 : x
  2. Step 2: Convert to fraction form
    145,820.88/218,724.03 = 57,090.66/x
  3. Step 3: Cross multiply
    145,820.88x = 218,724.03 × 57,090.66
  4. Step 4: Simplify right side
    145,820.88x = 12,487,099,230.56
  5. Step 5: Solve for x
    x = 12,487,099,230.56/145,820.88
  6. Step 6: Final answer
    x = 85,633.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.